| Title:
|
On some approximation properties of the metric dimension (English) |
| Author:
|
Žáčik, Tibor |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
1992 |
| Pages:
|
331-338 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54F45 |
| idZBL:
|
Zbl 0765.54026 |
| idMR:
|
MR1182963 |
| . |
| Date available:
|
2009-09-25T10:39:59Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129347 |
| . |
| Reference:
|
[B] BAKHTIN V. I.: Properties of the entropy and Hausdorff dimension.(Russian), Vestnik Moskov. Univ. Ser. I Mat. Mekh. 15 (1982), 25-29. MR 0679473 |
| Reference:
|
[C-S] CAJAR H., SANDAN K.: Perfekte Mengen mit unterschiedlicher Hausdorff und unterer metrischer Dimension.Arch. Math. 45 (1985), 21-33. MR 0799446 |
| Reference:
|
[H] HAWKES J.: Hausdorff measure, entropy, and the independence of small sets.Proc. London Math. Soc. (3) 28 (1974), 700-724. Zbl 0315.28001, MR 0352412 |
| Reference:
|
[K-T] KOLMOGOROV A. N., TIHOMIROV V. M.: e-entropy and e-capacity of sets in functional spaces.(Russian), Usp. Mat. Nauk 14 (1959), 3-86; Amer. Math. Soc. Transl. Ser. 2 17 (1961), 277-364. MR 0112032 |
| Reference:
|
[M] MAŇÉ R.: On the dimension of the compact invariant sets of certain nonlinear maps, Dynamical Systems and Turbulence.Warwick 1980 (Coventry 1979/1980) Lecture Notes in Math., 898, Springer, Berlin-New York, 1981, pp. 230-242. MR 0654892 |
| Reference:
|
[M-Z] MIŠÍK L., ŽÁČIK T.: On some properties of the metric dimension.Comment. Math. Univ. Carolin. 31,4 (1990), 781-791. Zbl 0717.54017, MR 1091376 |
| Reference:
|
[P] PROSSER R. T.: Note on metric dimension.Proc. Amer. Math. Soc. 25 (1970), 763-765. Zbl 0197.19303, MR 0259873 |
| Reference:
|
[P-S] PONTRYAGIN L. S., SNIRELMAN L. G.: Sur une propriété métrique de la dimension.Ann. of Math. 33 (1932), 156-162, Appendix to the Russian translation of "Dimension Theory" by W. Hurewitcz and H. Wallman, Izdat. Inostr. Lit. Moscow, 1948. MR 1503042 |
| Reference:
|
[P-T] PALIS J., TAKENS F.: Hyperbolicity and the creation of homo clinic orbits.Ann. of Math. 125 (1987), 337-374. MR 0881272 |
| Reference:
|
[V] VOSBURG A. C.: On the relationship between Hausdorff dimension and metric dimension.Pacific J. Math. 23 (1967), 183-187. Zbl 0153.24701, MR 0217776 |
| Reference:
|
[Y] YOMDIN Y.: The geometry of critical and near-critical values of differentiate mappings.Math. Ann. 264 (1983), 495-515. MR 0716263 |
| . |
